We explore a class of primordial power spectra that can fit the observed anisotropies in the cosmic microwave background well and that predicts a value for the Hubble parameter consistent with the local measurement of $H_0 = 74$ km/s/Mpc. This class of primordial power spectrum consists of a continuous deformation between the best-fit power law primordial power spectrum and the primordial power spectrum derived from the modified Richardson-Lucy deconvolution algorithm applied to the $C_\ell$s of best-fit power law primordial power spectrum. We find that linear interpolation half-way between the power law and modified Richardson-Lucy power spectra fits the Planck data better than the best-fit $\Lambda$CDM by $\Delta\log\mathcal{L} = 2.5$. In effect, this class of deformations of the primordial power spectra offer a new dimension which is correlated with the Hubble parameter. This correlation causes the best-fit value for $H_0$ to shift and the uncertainty to expand to $H_0 = 70.2 \pm 1.2$ km/s/Mpc. When considering the Planck dataset combined with the Cepheid $H_0$ measurement, the best-fit $H_0$ becomes $H_0 = 71.8 \pm 0.9$ km/s/Mpc. We also compute a Bayes factor of $\log K = 5.7$ in favor of the deformation model.

中文翻译：

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通货膨胀战争：新的希望

我们探索了一类原始功率谱，它可以很好地拟合宇宙微波背景中观察到的各向异性，并预测哈勃参数的值与 $H_0 = 74 $ km/s/Mpc 的本地测量一致。此类原始功率谱由最佳拟合幂律原始功率谱和从应用于最佳拟合幂律的 $C_\ell$s 的改进理查森-露西反卷积算法导出的原始功率谱之间的连续变形组成原始功率谱。我们发现幂律和修改后的 Richardson-Lucy 功率谱之间的线性插值比最佳拟合 $\Lambda$CDM 更适合普朗克数据，$\Delta\log\mathcal{L} = 2.5$。有效，原始功率谱的这类变形提供了一个与哈勃参数相关的新维度。这种相关性导致 $H_0$ 的最佳拟合值发生变化，不确定性扩大到 $H_0 = 70.2 \pm 1.2$ km/s/Mpc。当考虑 Planck 数据集与 Cepheid $H_0$ 测量值相结合时，最适合的 $H_0$ 变为 $H_0 = 71.8 \pm 0.9$ km/s/Mpc。我们还计算了有利于变形模型的贝叶斯因子 $\log K = 5.7$。